Title : 
Gray-scale structuring element decomposition
         
        
            Author : 
Camps, Octavia I. ; Kanungo, Tapas ; Haralick, Robert M.
         
        
            Author_Institution : 
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
         
        
        
        
        
            fDate : 
1/1/1996 12:00:00 AM
         
        
        
        
            Abstract : 
Efficient implementation of morphological operations requires the decomposition of structuring elements into the dilation of smaller structuring elements. Zhuang and Haralick (1986) presented a search algorithm to find optimal decompositions of structuring elements in binary morphology. We use the concepts of Top of a set and Umbra of a surface to extend this algorithm to find an optimal decomposition of any arbitrary gray-scale structuring element
         
        
            Keywords : 
image segmentation; mathematical morphology; search problems; Top operation; Umbra operation; binary images; binary morphology; dilation; gray-scale structuring element decomposition; image decomposition; morphological operations; optimal decomposition; optimal decompositions; search algorithm; Algebra; Computer science; Filters; Gray-scale; Hardware; Image processing; Image reconstruction; Morphological operations; Shape; Surface morphology;
         
        
        
            Journal_Title : 
Image Processing, IEEE Transactions on